Please note: I have moved to Oldenburg.
 Computational number theory
 Arithmetic Geometry
Note that the pdf files are preprint versions which may differ from the published
versions.
Canonical heights and division polynomials (with Robin de Jong),
Preprint (2013), submitted.

[pdf]

[arXiv]

[MagmaCode] 
padic height pairings and integral points on hyperelliptic curves (with Jen Balakrishnan and Amnon Besser),
Preprint (2013), submitted.

[pdf]

[arXiv]

Explicit Kummer varieties of hyperelliptic Jacobian threefolds,
Preprint (2012), submitted.

[pdf]

[arXiv]

[MagmaCode] 
A height inequality for rational points on elliptic curves implied by the abcconjecture
(with Ulf
Kühn), Preprint (2012), submitted.

[pdf]

[arXiv]

A padic analogue of the conjecture of Birch and SwinnertonDyer
for modular abelian varieties (with Jen
Balakrishnan and William Stein), Preprint
(2012), submitted.

[pdf]

[arXiv]

Lower bounds on the arithmetic
selfintersection number of the relative dualizing sheaf on arithmetic
surfaces (with Ulf
Kühn), Preprint (2012), submitted.

[pdf]

[arXiv]

Computing canonical heights using
arithmetic intersection theory,
Math. Comp. 83, 311336 (2014).

[pdf]

[arXiv]

[MagmaCode] 
Local heights on elliptic curves and
intersection multiplicities (with Vincenz Busch), Int. J.
Number Theory 8, No. 6, 14771484 (2012).

[pdf]

[arXiv]

Explicit Kummer surface formulas for arbitrary characteristic,
LMS J. Comput. Math. 13, 4764 (2010).

[pdf]

[arXiv]

Canonical heights and division polynomials
Explicit formulas for Kummer varieties of Jacobians of hyperelliptic curves of
genus 3
Computing canonical heights on Jacobians of hyperelliptic curves over number
fields using arithmetic intersection theory
Summer term 2013
Winter term 2011/12
Summer term 2011
 Tutorials for linear algebra.
 Exercise classes for linear algebra.
Winter term 2010/11
 Seminar on the arithmetic of elliptic curves.
 Tutorials for linear algebra.
 Prep course for math students.
Together with Yue Ren,
I organized the Summer School in Algorithmic
Mathematics 2013 which took place from September 2 to September 6 in Hamburg.
padic heights and integral points on hyperelliptic curves
Heights and Moduli spaces , June 2013, Lorentz Center, University of Leiden

[pdf] 
padic heights and integral points on hyperelliptic curves Rational Points  Geometric, Analytic and Explicit Approaches
, May 2013, University of Warwick

[pdf] 
A padic analogue of the conjecture of Birch and SwinnertonDyer
for modular abelian varieties
Arithmetic Geometry Seminar, November 2012, Humboldt
Universität zu Berlin

[pdf] 
A padic analogue of the conjecture of Birch and SwinnertonDyer
for modular abelian varieties Arithmetic of
Lfunctions, October 2012, University of Bristol

[pdf] 
A padic analogue of the conjecture of Birch and SwinnertonDyer
for modular abelian varieties Rational points on curves: A padic and
computational perspective, September 2012, Oxford University

[pdf] 
Computing canonical heights using arithmetic intersection theory
Séminaire de Cryptographie de Rennes, December 2011, Université Rennes I

[pdf] 
Algorithmische Aspekte der Vermutung von Birch und SwinnertonDyer (in German)
Oberseminar Algebraische Geometrie, June 2011, LMU München

[pdf] 
Arithmetik von Kummer Varietäten (in German)
Oberseminar
Algebra, February 2011, Universität Oldenburg

[pdf] 
Computing canonical heights on Jacobians
Rational points: Theory &
Experiment, Workshop, May 2010, ETH Zürich

[pdf] 
Explicit Kummer surface theory for arbitrary characteristic
Rational points
on curves and higherdimensional varieties, June 2009, University of Warwick

[pdf] 
